Operator D vs. Function diff
Description
Examples
The D operator computes derivatives of operators, while diff computes derivatives of expressions.
The argument and result of D are functional operators, while the argument and result of diff are expressions.
The following diagram illustrates the transitions that occur using D, diff, unapply, and function application.
function application -->
f ----------------------------- f(x)
<-- unapply
| |
| d | ^
| i | |
|D() f |
| | f | i
| | | n
| V | | t
| V |
D(f) ---------------------------- f'(x)
Dsinx
cosx
diffsinx,x
Df@g
Df@gDg
difff@gx,x
Dfgxⅆⅆxgx
See Also
D
diff
operators[functional]
unapply
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